Question

If the angles of a truangle are in the ratio of 2:3:4 find the value of each angle

Answer 1

Answer:

LET THE ANGLES BE 2x, 3x and 4x

Then, Sum of all angles is 180°

2x+3x+4x=180°

9x=180°

x=180°/9

x=20°

so, first angle=2x=2×20=40°

     second angle=3x=3×20=60°

     third angle=4x=4×20=80°

lets check, 40°+60°+80°=180°

                                 180°=180°

Step-by-step explanation:

Answer 2

Let the 3 angles of a triangle be 2x,3x and 4x.

The sum of all the angles of a triangle is 180 degree

So, 2x+3x+4x=180

9x=180

x=180/9=20

2x =2×20=40

3x=3 ×20=60

4x=4×20=80.